Question

Simulate the action of the algorithm for checking delimiters for each of these strings by using a stack and showing the contents of the stack at each point. Do not write an algorithm.

a){[A+B]-[(C-D)]
b)((H) * {([J+K])})

Answer 1

To simulate the algorithm for checking delimiters, use a stack. Example simulations for two strings provided.

Step-by-step explanation:

Simulating the Algorithm for Checking Delimiters

To simulate the action of the algorithm for checking delimiters for each of these strings, we can use a stack. Here's how:

a) {[A+B]-[(C-D)]}

1. Start with an empty stack.
2. Iterate through each character in the string from left to right.
3. If the character is an opening delimiter ({, [, or (, push it onto the stack.
4. If the character is a closing delimiter }, ], or ), check if the top of the stack matches it. If they match, pop the top of the stack.
5. If the character is any other character, continue to the next iteration.

At each point, the contents of the stack would be:

• Step 1: Empty
• Step 2: {
• Step 3: {[
• Step 4: {
• Step 5: Empty

b) ((H) * {([J+K])})

1. Start with an empty stack.
2. Iterate through each character in the string from left to right.
3. If the character is an opening delimiter ({, [, or (, push it onto the stack.
4. If the character is a closing delimiter }, ], or ), check if the top of the stack matches it. If they match, pop the top of the stack.
5. If the character is any other character, continue to the next iteration.

At each point, the contents of the stack would be:

• Step 1: Empty
• Step 2: (
• Step 3: ((
• Step 4: (
• Step 5: (
• Step 6: (
• Step 7: (
• Step 8: Empty